Complex analytical methods are a powerful tool for special partial differential equations and systems. To make these methods applicable for a wider class, transformations and transmutations are used.

Complex analytic methods are a powerful tool for special partial differential equations and systems. In order to make these methods applicable for a wider class one uses transformations and transmutations. Transformations in this sense appear e.g. in the integral operator methods of Bergman and Vekua. Transmutations as were introduced by R.Carroll are intertwinings of operators which transport structure between the theories of the involved operators as e.g. properties of solutions to related equations.